EDGE Math 8

First, choose "congruent" if $ΔGEL$ is congruent to $ΔKAY$ under the given conditions; otherwise, choose "not congruent."
Next, if $ΔGEL$ and $ΔKAY$ are congruent, choose the postulate or theorem that supports the triangle congruence. If the supporting postulate or theorem is not listed, choose "none of the choices."

1.	$\bar{GE} ≅ \bar{KA}, \bar{EL} ≅ \bar{AY}, ∠ E ≅ ∠ A$

congruent

not congruent

SAA Congruence Theorem

SAS Congruence Postulate

SSS Congruence Postulate

none of the choices

Answer: congruent; SAS Congruence Postulate

2.	$\bar{GE} ≅ \bar{KA}, ∠ E ≅ ∠ A, ∠ L ≅ ∠ Y$

congruent

not congruent

SAA Congruence Theorem

SAS Congruence Postulate

SSS Congruence Postulate

none of the choices

Answer: congruent; SAA Congruence Theorem

3.	$∠ G ≅ ∠ K, ∠ E ≅ ∠ A, ∠ L ≅ ∠ Y$

congruent

not congruent

SAS Congruence Postulate

SSS Congruence Postulate

ASA Congruence Theorem

none of the choices

Answer: not congruent (There is no AAA Congruence Theorem or AAA Congruence Postulate.)

4.	$\bar{GE} ≅ \bar{KA}, \bar{EL} ≅ \bar{AY}, \bar{LG} ≅ \bar{YK}$

congruent

not congruent

SAS Congruence Postulate

SAA Congruence Theorem

ASA Congruence Theorem

none of the choices

Answer: congruent; none of the choices (The supporting postulate should be SSS Congruence Postulate.)

5.	$\bar{GE} ≅ \bar{KA}, \bar{EL} ≅ \bar{AY}, ∠ L ≅ ∠ Y$

congruent

not congruent

SAS Congruence Postulate

AAA Congruence Theorem

SSS Congruence Postulate

none of the choices

Answer: not congruent (There is no SSA Congruence Postulate or SSA Congruence Theorem.)

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